Calculating theta(t): Mass, M & B Variables

[GreenPrint]

Homework Statement

See the Question Below For Diagram

In the diagram below, calculate theta(t) such that the system remains balanced. The mass of the lower mass is initially zero and theta is initially 90 degrees, but water is poured into the lower mass such that m(t) = Bt. Answer in terms of M and B.

Homework Equations

The Attempt at a Solution

I was just wondering if my work was right. I got theta(t) = arccos((Bt)/M). I'm sort of unsure if I got the angle correct for the x component of gravity sense normally the angle that we are concerned with is level with the ground and at the bottom of the ramp and not the top.

 

[PhanthomJay]

Good observation. Your answer looks good!

 

[GreenPrint]

Alright thanks I wasn't sure because I never solved a problem like that before were the angle I was concerned with was not the one that was on the ground.